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Finding the Fourth Proportional to 7,171.66, 9,894.42 and 4,481.05

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Solution

The fourth proportional to 7,171.66, 9,894.42 and 4,481.05 is: 6,182.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,171.66 : 9,894.42 = 4,481.05 : x
  2. Step 2: Convert to fraction form
    7,171.66/9,894.42 = 4,481.05/x
  3. Step 3: Cross multiply
    7,171.66x = 9,894.42 × 4,481.05
  4. Step 4: Simplify right side
    7,171.66x = 44,337,390.74
  5. Step 5: Solve for x
    x = 44,337,390.74/7,171.66
  6. Step 6: Final answer
    x = 6,182.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.